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EleoNora [17]
2 years ago
12

What is the complete factorization of the polynomial below

Mathematics
1 answer:
DerKrebs [107]2 years ago
7 0

Answer:

a. \ (x-2)(x+i)(x-i)

Step-by-step explanation:

First of all let's notice that (x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C} while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of (x-\alpha) it means tha \alpha is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0

p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20

At this point 2 is a zero, and our final factoring is a(x-2)(x+i)(x-i)

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Which is the value of the rational expression 6-x/x+5 when x=2
Allisa [31]

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

8 0
3 years ago
Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?
VladimirAG [237]

Answer:

18

Step-by-step explanation:

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4 0
3 years ago
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r
slega [8]

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

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When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

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When y = -(x+1)^2 is translated 3 units up, it becomes ...

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7 0
2 years ago
A circle has a radius of 555 inches (\text{in})(in)(, start text, i, n, end text, )and a central angle that intercepts an arc wi
leva [86]

Answer:

Central angle = 0.0003π

Step-by-step explanation:

Radius of circle = r = 555 in = 14.097 m

Arc length = s = 30 in = 0.762 m

Using formula

s=r\theta\\\\\theta=\frac{s}{r}\\\\\theta=\frac{0.762}{14.097}\\\\\theta=0.05408

Converting θ to radians

\theta=0.05408\frac{\pi}{180}\\\\\theta=0.0003\pi

3 0
3 years ago
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A square unit that is 1 unit wide and 1 unit long is a?
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A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

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3 years ago
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